ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

The set { {a, b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

Power set of X i.e P(X)..........under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

• 1/x A
• -x B
• 2x C
• 0.5 x D

The set of integers is a subset of

• The set of natural numbers A
• The set of whole numbers B
• The set of prime numbers C
• The set of rational numbers D

If A and B are two sets then intersection of A and B is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set D

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U D

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

• 40 A
• 30 B
• 50 C
• 20 D

If the intersection of two sets is non-empty, but either is a subset of other are called

• Disjoint sets A
• Over lapping B
• Equal sets C
• None of these D

The identity element of a set X with respect to intersection in P(x) is

• X A
• Does not exist B
• ∅ C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

For any set B,B∪B' is

• Is set B A
• Set B' B
• Universal set C

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

If B-A≠φ , then n(B-A) is equal to

• n(a)+n(c) A
• n(c)-n(a) B
• n(a)-n(c) C
• None of these D

• A A
• A' B
• U C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set D

{1, 2, 3} is _____

• an infinite set A
• A finite set B
• A singleton set C
• Universal set D

Which of the following sets in infinite

• The set of students of your class A
• The set of all schools in Pakistan B
• The set of natural numbers between 3 and 10 C
• The set of rational numbers between 3 and 10 D

A set having only one element is called

• An empty set A
• Universal set B
• A singleton set C
• A power set D

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

• A≠ C A
• B = C B
• A = B C
• A≠ B D

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

If C={p/p < 18, p is a prime number}, then C =

• {2,3,4,.........17} A
• {2,4,6,8................16} B
• {1,3,5,7,9,11,13,15,17} C
• {3,6,9,12,15} D

The set {-1, 1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D

• A = C A
• A = B B
• B = C C
• None of these D

• Conclusion A
• Implication B
• Antecedent C
• Hypothesis D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D